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Banach-Saks property in Marcinkiewicz spaces |
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| Authors: | SV Astashkin FA Sukochev |
| Institution: | a Department of Mathematics, Samara State University, Samara, Russia b School of Informatics and Engineering, Flinders University, Bedford Park, SA 5042, Australia |
| Abstract: | We catalogue all Marcinkiewicz function and sequence spaces with the Banach-Saks property and present necessary and sufficient conditions for a wide subclass of spaces to possess the p-Banach-Saks property, 1<p<∞. We apply our results to several open problems. |
| Keywords: | Rearrangement invariant spaces Marcinkiewicz spaces Banach-Saks property Boyd indices Spaces with mixed norm Rademacher type of Banach spaces |
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